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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 116 · 40 sums
TalentJR

The trick (Ekadhikena Purvena): 2, 5, 10: the last digit (even; 0 or 5; 0). 3 and 9: add the digits. 4: the last two digits. 8: the last three digits. 6: even and passes the rule for 3. 11: from the right, add the 1st, 3rd, 5th… digits and the 2nd, 4th… digits; the difference must be 0 or a multiple of 11. Any prime p: multiply p by 1, 3, 7 or 9 so it ends in 9; one more than the digits before the 9 is the osculator (7 → 5, 13 → 4, 17 → 12, 19 → 2, 23 → 7, 29 → 3). Take the last digit × the osculator and add it to the rest; repeat until the number is small and check the times table. Composite numbers: split into two factors that share no factor and pass BOTH rules — 6 = 2 × 3, 12 = 3 × 4, 15 = 3 × 5, 18 = 2 × 9, 20 = 4 × 5, 24 = 3 × 8, 30 = 3 × 10.

NameDateTime takenScore ___ / 40
  1. 1.Is 23560 divisible by 20?
  2. 2.Is 9474 divisible by 24?
  3. 3.Is 34008 divisible by 13?
  4. 4.Is 97440 divisible by 29?
  5. 5.Is 13420 divisible by 11?
  6. 6.Is 67294 divisible by 17?
  7. 7.Is 48339 divisible by 10?
  8. 8.Is 24691 divisible by 8?
  9. 9.Is 19713 divisible by 3?
  10. 10.Is 127322 divisible by 29?
  11. 11.Is 3933 divisible by 4?
  12. 12.Is 69221 divisible by 11?
  13. 13.Is 19233 divisible by 9?
  14. 14.Is 115916 divisible by 30?
  15. 15.Is 15320 divisible by 7?
  16. 16.Is 14791 divisible by 20?
  17. 17.Is 40255 divisible by 17?
  18. 18.Is 25627 divisible by 30?
  19. 19.Is 46968 divisible by 12?
  20. 20.Is 31720 divisible by 8?
  21. 21.Is 79826 divisible by 13?
  22. 22.Is 40935 divisible by 29?
  23. 23.Is 829 divisible by 4?
  24. 24.Is 4356 divisible by 8?
  25. 25.Is 5153 divisible by 4?
  26. 26.Is 89518 divisible by 13?
  27. 27.Is 165339 divisible by 29?
  28. 28.Is 97735 divisible by 17?
  29. 29.Is 30388 divisible by 8?
  30. 30.Is 132043 divisible by 23?
  31. 31.Is 570 divisible by 10?
  32. 32.Is 79740 divisible by 30?
  33. 33.Is 52720 divisible by 10?
  34. 34.Is 9505 divisible by 13?
  35. 35.Is 11636 divisible by 20?
  36. 36.Is 20258 divisible by 4?
  37. 37.Is 32197 divisible by 6?
  38. 38.Is 49076 divisible by 8?
  39. 39.Is 36920 divisible by 8?
  40. 40.Is 16444 divisible by 4?

Answer key

  1. yes
  2. no
  3. yes
  4. yes
  5. yes
  6. no
  7. no
  8. no
  9. yes
  10. no
  11. no
  12. no
  13. yes
  14. no
  15. no
  16. no
  17. no
  18. no
  19. yes
  20. yes
  21. no
  22. no
  23. no
  24. no
  25. no
  26. yes
  27. no
  28. no
  29. no
  30. yes
  31. yes
  32. yes
  33. yes
  34. no
  35. no
  36. no
  37. no
  38. no
  39. yes
  40. yes

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